77322816 has 112 divisors (see below), whose sum is σ = 235305600. Its totient is φ = 24869376.

The previous prime is 77322811. The next prime is 77322823. The reversal of 77322816 is 61822377.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77322811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49341 + ... + 50883.

Almost surely, 2^77322816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117652800).

77322816 is an abundant number, since it is smaller than the sum of its proper divisors (157982784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77322816 is a wasteful number, since it uses less digits than its factorization.

77322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1577 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 77322816 is about 8793.3392974455. The cubic root of 77322816 is about 426.0257869730.

The spelling of 77322816 in words is "seventy-seven million, three hundred twenty-two thousand, eight hundred sixteen".